A person spends 2/5 of his money on food, 1/3 of the remaining amount on…
2018
A person spends 2/5 of his money on food, 1/3 of the remaining amount on clothes, and 2/3 of the remaining amount on transport. If he is left with ₹760, how much money did he have in the beginning?
- A.
5500
- B.
5680
- C.
5700
- D.
6200
Attempted by 97 students.
Show answer & explanation
Correct answer: C
Let the original amount be x.
After spending 2/5 on food, remaining amount = 3x/5.
He spends 1/3 of this on clothes, so remaining amount = (2/3) × (3x/5) = 2x/5.
He then spends 2/3 of this on transport, so final remaining amount = (1/3) × (2x/5) = 2x/15.
Given 2x/15 = 760.
So, x = 760 × 15/2 = 5700.
Therefore, the money he had in the beginning was ₹5700.